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4. solve each equation and match it to the value of the variable: 1. $z…

Question

  1. solve each equation and match it to the value of the variable:
  2. $z + 203 = 391$ a. 188
  3. $252 = y - 145$ b. 397
  4. $m + 18.2 = 74$ c. 8
  5. $n + 4 = 12$ d. 55.8
  6. $x - 4.7 = 2.8$ e. 7.5
  1. solve each equation and match it to the value of the variable:
  2. $3p = 72$ a. 24
  3. $2x = 4$ b. 72
  4. $12 = \frac{h}{6}$ c. 2
  5. $\frac{n}{3} = 21$ d. 729
  6. $81 = \frac{r}{9}$ e. 63

Explanation:

Step1: Isolate $z$ via subtraction

$z = 391 - 203 = 188$

Step2: Isolate $y$ via addition

$y = 252 + 145 = 397$

Step3: Isolate $m$ via subtraction

$m = 74 - 18.2 = 55.8$

Step4: Isolate $n$ via subtraction

$n = 12 - 4 = 8$

Step5: Isolate $x$ via addition

$x = 2.8 + 4.7 = 7.5$

Step6: Isolate $p$ via division

$p = \frac{72}{3} = 24$

Step7: Isolate $x$ via division

$x = \frac{4}{2} = 2$

Step8: Isolate $h$ via multiplication

$h = 12 \times 6 = 72$

Step9: Isolate $n$ via multiplication

$n = 21 \times 3 = 63$

Step10: Isolate $r$ via multiplication

$r = 81 \times 9 = 729$

Answer:

Section 4 Matches:

  1. a. 188
  2. b. 397
  3. d. 55.8
  4. c. 8
  5. e. 7.5

Section 5 Matches:

  1. a. 24
  2. c. 2
  3. b. 72
  4. e. 63
  5. d. 729